207 citations · 2.4k across the 59 of their papers we have counts for
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Fractional Moment Methods for Anderson Localization in the Continuum
Michael Aizenman, Alexander Elgart, Sergey Naboko +2
The fractional moment method, which was initially developed in the discrete context for the analysis of the localization properties of lattice random operators, is extended to appl…
Moment Analysis for Localization in Random Schroedinger Operators
Michael Aizenman, Alexander Elgart, Serguei Naboko +2
We study localization effects of disorder on the spectral and dynamical properties of Schroedinger operators with random potentials. The new results include exponentially decaying…
An Extended Variational Principle for the SK Spin-Glass Model
Michael Aizenman, Robert Sims, Shannon L. Starr
The recent proof by F. Guerra that the Parisi ansatz provides a lower bound on the free energy of the SK spin-glass model could have been taken as offering some support to the vali…